The equal allocation of nonseparable costs: An extension under fuzzy behavior

Authors:
Yu-Hsien Liao
Affiliations:
Department of Applied Mathematics, National Pingtung University of Education, Pingtung 900, Taiwan
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 8
Cited 0

The consistent Shapley value for hyperplane games

International Journal of Game Theory
A lexicographical solution concept in an n-person cooperative fuzzy game

Fuzzy Sets and Systems
The equalizer and the lexicographical solutions for cooperative fuzzy games: characterization and properties

Fuzzy Sets and Systems - Theme: Decision and optimization
Fuzzy and Multiobjective Games for Conflict Resolution (Studies in Fuzziness and Soft Computing)

Fuzzy and Multiobjective Games for Conflict Resolution (Studies in Fuzziness and Soft Computing)
Fuzzy games: A characterization of the core

Fuzzy Sets and Systems
The measure of interaction among players in games with fuzzy coalitions

Fuzzy Sets and Systems
Max-consistency, complement-consistency and the core of fuzzy games

Fuzzy Sets and Systems
The consistent value of fuzzy games

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

By considering the players and the activity levels simultaneously, we propose a consistent solution which is a generalization of the equal allocation of nonseparable costs (EANSC) on fuzzy games. We also adopt two pre-existing concepts from traditional game theory and reinterpret them in the framework of fuzzy games. First, based on the consistency which related to an extended reduced game, we offer two axiomatizations of the extended EANSC. Second, by applying the excess function, we propose a dynamic process to illustrate that the extended EANSC can be reached by players who start from an arbitrary efficient solution and make consecutive amendments.